The probability of his 2 Dragons both rolling hits is 56.25%. Doing so would kill both of my Footsoldiers.
The probability of my 2 Storm Elementals both rolling hits is 14.06%. Doing so would wound both Dragons.
The probability of my 2 Footsoldiers both rolling hits is 2.78%. Doing so would kill both Dragons.
If all units hit, I would win the battle with 2 surviving Storm Elementals. But let’s assume my Storm Elementals and Footsoldiers are inept and only ever have a chance of hitting once in a round, yet the Dragons excel (56.25%). Again…
Round 1
The probability of his 2 Dragons both rolling hits is 56.25%. Doing so would kill both of my Footsoldiers.
The probability of one of my 2 Storm Elementals rolling a hit is 60.94%. Doing so would wound one Dragon.
The probability of one of my 2 Footsoldiers rolling a hit is 30.56%. Doing so would wound the other Dragon.
Round 2
The probability of his 2 Dragons both rolling hits is 56.25%. Doing so would kill both of my Storm Elementals.
The probability of one of my 2 Storm Elementals rolling a hit is 60.94%. Doing so would kill one Dragon.
He’d win with one wounded Dragon remaining.
Now, let’s assume both sides are equally inept:
Round 1
The probability of one of his 2 Dragons rolling a hit is 93.75%. Doing so would kill one of my Footsoldiers.
The probability of one of my 2 Storm Elementals rolling a hit is 60.94%. Doing so would wound one Dragon.
The probability of one of my 2 Footsoldiers rolling a hit is 30.56%. Doing so would wound the other Dragon.
Round 2
The probability of one of his 2 Dragons rolling a hit is 93.75%. Doing so would kill my other Footsoldier.
The probability of one of my 2 Storm Elementals rolling a hit is 60.94%. Doing so would kill one Dragon.
The probability of my remaining Footsoldier rolling a hit is 16.67%. Doing so would kill the other Dragon.
But let’s assume the sole Footsoldier misses and the other Dragon survives for Round 3.
Round 3
The probability of his remaining Dragon rolling a hit is 75%. Doing so would kill one of my Storm Elementals.
The probability of one of my 2 Storm Elementals rolling a hit is 60.94%. Doing so would kill the remaining Dragon.
But let’s assume both Storm Elementals miss and the Dragon survives for Round 4.
Round 4
The probability of his remaining Dragon rolling a hit is 75%. Doing so would kill my remaining Storm Elemental.
The probability of my remaining Storm Elemental rolling a hit is 37.5%. Doing so would kill the remaining Dragon.
Having said all that, I hope you can see why I’m curious to see where you came up with the 2% chance of my forces defeating his Dragons. Are you still crunching the numbers?